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^ Associated team (at most 2 students). To register, double click and fill your first name, your family name. And do the same for your classmate.  ^  Title                                                                                                                   ^  Paper                                                                        ^ Comments  ^
| Yichuan Huang                                                                                                                                    |  Log-concave sampling: Metropolis-Hastings algorithms are fast                                                           |  [[https://arxiv.org/pdf/1801.02309.pdf| paper]]                              |           |
| Rafaël Digneaux & Côme Eupherte                                                                                                                  |  Computable bounds on convergence of Markov chains in Wassertein distance                                                |  [[https://arxiv.org/pdf/2308.10341.pdf| paper]]                              |           |
| Anna Bahrii                                                                                                                                      |  On the limitations of single-step drift and minorization in Markov chain convergence analysis                           |  [[https://arxiv.org/pdf/2003.09555.pdf| paper]]                              |           |
| Sturma Thomas & Victor-Emmanuel Grün                                                                                                             |  Lower bounds on the rate of convergence for accept-reject-based Markov chains                                           |  [[https://arxiv.org/pdf/2212.05955.pdf| paper]]                              |           |
| Ekin Arikök & Gaspard Gomez                                                                                                                      |  The pseudo-marginal approach for efficient Monte Carlo computations                                                     |  [[https://arxiv.org/pdf/0903.5480.pdf| paper]]                               |           |
| Emile Averous & Nathan de Montgolfier                                                                                                            |  Poincaré inequalities for Markov chains: a meeting with Cheeger, Lyapunov and Metropolis                                |  [[https://arxiv.org/pdf/2208.05239.pdf| paper]]                              |           |
| Laureline Legros                                                                                                                                 |  Convergence of diffusions and their discretizations: from continuous to discrete processes and back                     |  [[https://arxiv.org/pdf/1904.09808|paper]]                                   |           |
| Hugo Malafosse & Philippe Sarotte                                                                                                                |  Boost your favorite Markov Chain Monte Carlo sampler using Kac's theorem: the Kick-Kac teleportation algorithm          |  [[https://arxiv.org/pdf/2201.05002|paper]]                                   |           |
| Valentin Pesce                                                                                                                                   |  Comparison of asymptotic variances of inhomogeneous Markov chains with application to Markov chain Monte Carlo methods  |  [[https://arxiv.org/pdf/1307.3719| paper]]                                   |           |
| Jérôme Taupin & Ales Brahiti                                                                                                                     |  Convergence rate bounds for iterative random functions using one-shot coupling                                          |  [[https://arxiv.org/pdf/2112.03982| paper]]                                  |           |
|                                                                                                                                                  |                            Explicit bounds for spectral theory of geometrically ergodic Markov kernels and applications: |  [[http://herve.perso.math.cnrs.fr/HALv2-Poisson-LHerve-JLedoux.pdf| paper]]  |           |

====== Instructions ======
  * A short summary (5 pages max) of the paper is requested before the defense. You can add technical appendix (with no limitation size) if needed. 
  * The defense will be 20 minutes long per project + questions.
  * Be as pedagogical as possible, you can highlight a particular proof that interests you if you find it interesting. 
  * Please read the {{ :world:guidelinesmda.pdf |guidelines for the report}}.    
  * If there is any question, please contact [[alain.durmus@polytechnique.edu|Alain Durmus]] or [[randal.douc@polytechnique.edu|Randal Douc]].

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